Results 1 to 10 of about 53,389 (317)
Modular Forms and Weierstrass Mock Modular Forms [PDF]
Mathematics, 2016 Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
doaj +3 more sources
On the Modularity of Normal Forms in Rewriting
Journal of Symbolic Computation, 1996 AbstractThe last open problem regarding the modularity of the fundamental properties of Term Rewriting Systems concerns the property of uniqueness of normal forms w.r.t. reduction (UN→). In this article we solve this open problem, showing that UN→is modular for left-linear Term Rewriting Systems.
Massimo Marchiori
openalex +4 more sources
On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds [PDF]
Royal Society Open Science, 2015 In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds.
Kathrin Bringmann +2 more
doaj +1 more source
Seven Small Simple Groups Not Previously Known to Be Galois Over
Mathematics, 2022 In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait +2 more
doaj +1 more source
Modular flavor symmetry and vector-valued modular forms
Journal of High Energy Physics, 2022 We revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we have more possible finite modular groups including Γ N and Γ N ′ $$
Xiang-Gan Liu, Gui-Jun Ding
doaj +1 more source
Mock modular forms as $p$-adic modular forms [PDF]
Transactions of the American Mathematical Society, 2012 17 ...
Bringmann, Kathrin +2 more
openaire +4 more sources
4-manifolds and topological modular forms
Journal of High Energy Physics, 2021 We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with flavor symmetry backgrounds.
Sergei Gukov +3 more
doaj +1 more source
Computing mod ℓ Galois representations associated to modular forms for small primes
AIMS Mathematics, 2023 In this paper, we propose an algorithm for computing mod $ \ell $ Galois representations associated to modular forms of weight $ k $ when $ \ell < k-1 $. We also present the corresponding results for the projective Galois representations. Moreover, we
Peng Tian +2 more
doaj +1 more source
Meromorphic modular forms and the three-loop equal-mass banana integral
Journal of High Energy Physics, 2022 We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel +2 more
doaj +1 more source
Advances in Mathematics, 2018 The denominator formula for the Monster Lie algebra is the product expansion for the modular function $j(z)-j( )$ given in terms of the Hecke system of $\operatorname{SL}_2(\mathbb Z)$-modular functions $j_n( )$. It is prominent in Zagier's seminal paper on traces of singular moduli, and in the Duncan-Frenkel work on Moonshine.
Bringmann, Kathrin +4 more
openaire +5 more sources